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Finding the Third Proportional to 14,431.92 and 28,134.84

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Solution

The third proportional to 14,431.92 and 28,134.84 is: 54,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.92 : 28,134.84 = 28,134.84 : x
  2. Step 2: Convert to fraction form
    14,431.92/28,134.84 = 28,134.84/x
  3. Step 3: Cross multiply
    14,431.92x = 28,134.84 × 28,134.84
  4. Step 4: Simplify right side
    14,431.92x = 791,569,432.84
  5. Step 5: Solve for x
    x = 791,569,432.84/14,431.92
  6. Step 6: Final answer
    x = 54,848.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.